Least Common Multiple of 505/30, 134/63, 672/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/30, 134/63, 672/528 quickly i.e. 7579040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/30, 134/63, 672/528 is 7579040.

LCM(505/30, 134/63, 672/528) = 7579040

LCM of 505/30, 134/63, 672/528

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 505/30,134/63,672/528

Given numbers are 505/30,134/63,672/528

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 505,134,672

Least Common Multiple of Numerators i.e. LCM of 505,134,672 is 22737120.

GCF of Denominators means GCF of 30,63,528 as per the given fractions.

GCF of 30,63,528 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,134,672

LCM of Fractions 505/30,134/63,672/528 is 7579040

2 505, 134, 672
505, 67, 336

∴ So the LCM of the given numbers is 2 x 505 x 67 x 336 = 22737120

Least Common Multiple of 505,134,672 with GCF Formula

Least Common Multiple of 505,134,672 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 505,134,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,134,672) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(505,134,672) x common factors =1 x 2 = 2

LCM(505,134,672) = ( 505 × 134 × 672 ) / 2

LCM(505,134,672) = 45474240 / 2

LCM(505,134,672) = 22737120


Lets's calculate GCF of 30,63,528

3 30, 63, 528
10, 21, 176

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22737120/3

Therefore the LCM of Fractions 505/30,134/63,672/528 is 7579040

Greatest Common Factor of 30,63,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,63,528 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 30,63,528 . The biggest common factor number is the GCF number.
So the greatest common factor 30,63,528 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 505/30, 134/63, 672/528

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 505/30, 134/63, 672/528?

Answer: LCM of Numerators as per given numbers 505/30, 134/63, 672/528 is

LCM of Numerators i.e. for 505,134,672 is 22737120

GCF of denominators i.e. for 30,63,528 is 3.

Thus, LCM of Fractions is 7579040.Finally, LCM of Fractions for 505/30, 134/63, 672/528 is 7579040.